163501920 has 144 divisors (see below), whose sum is σ = 590859360. Its totient is φ = 41029632.

The previous prime is 163501901. The next prime is 163501951. The reversal of 163501920 is 29105361.

163501920 is a `hidden beast` number, since 1 + 635 + 0 + 1 + 9 + 20 = 666.

163501920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21141 + ... + 27819.

It is an arithmetic number, because the mean of its divisors is an integer number (4103190).

Almost surely, 2^163501920 is an apocalyptic number.

163501920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295429680).

163501920 is an abundant number, since it is smaller than the sum of its proper divisors (427357440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163501920 is a wasteful number, since it uses less digits than its factorization.

163501920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 163501920 is about 12786.7869302652. The cubic root of 163501920 is about 546.8156709298.

The spelling of 163501920 in words is "one hundred sixty-three million, five hundred one thousand, nine hundred twenty".